log[2](x-5)-log[2](x+2)=3

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Solution for log[2](x-5)-log[2](x+2)=3 equation:


Simplifying
log[2](x + -5) + -1log[2](x + 2) = 3

Reorder the terms:
glo * 2(-5 + x) + -1log[2](x + 2) = 3

Reorder the terms for easier multiplication:
2glo(-5 + x) + -1log[2](x + 2) = 3
(-5 * 2glo + x * 2glo) + -1log[2](x + 2) = 3
(-10glo + 2glox) + -1log[2](x + 2) = 3

Reorder the terms:
-10glo + 2glox + -1glo * 2(2 + x) = 3

Reorder the terms for easier multiplication:
-10glo + 2glox + -1 * 2glo(2 + x) = 3

Multiply -1 * 2
-10glo + 2glox + -2glo(2 + x) = 3
-10glo + 2glox + (2 * -2glo + x * -2glo) = 3
-10glo + 2glox + (-4glo + -2glox) = 3

Reorder the terms:
-10glo + -4glo + 2glox + -2glox = 3

Combine like terms: -10glo + -4glo = -14glo
-14glo + 2glox + -2glox = 3

Combine like terms: 2glox + -2glox = 0
-14glo + 0 = 3
-14glo = 3

Solving
-14glo = 3

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by '-14lo'.
g = -0.2142857143l-1o-1

Simplifying
g = -0.2142857143l-1o-1

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